8672000 has 72 divisors (see below), whose sum is σ = 21682752. Its totient is φ = 3456000.

The previous prime is 8671991. The next prime is 8672003. The reversal of 8672000 is 2768.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (8672003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31865 + ... + 32135.

Almost surely, 2^8672000 is an apocalyptic number.

8672000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10841376).

8672000 is an abundant number, since it is smaller than the sum of its proper divisors (13010752).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8672000 is an equidigital number, since it uses as much as digits as its factorization.

8672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 8672000 is about 2944.8259710890. The cubic root of 8672000 is about 205.4501312602.

Adding to 8672000 its reverse (2768), we get a palindrome (8674768).

The spelling of 8672000 in words is "eight million, six hundred seventy-two thousand".